Question

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, then how many litres of soup the hospital management has to prepare daily to serve 100 patients?

• A. 15
• B. 15.2
• C. 15.4
• D. 15.6

Answer 1

The Correct Option is C

The volume of soup for one patient is: $V = \pi (\frac{7}{2})^2 \times 4 = 49\pi \text{ cm}^3$ 

The volume for 100 patients is: $V_{\text{total}} = 100 \times 49\pi \text{ cm}^3 = 4900\pi \text{ cm}^3$ 

Converting to liters (1 liter = 1000 cm³): $V_{\text{total}} = \frac{4900\pi}{1000} \text{ liters} = 4.9\pi \text{ liters}$ 

Using $\pi \approx \frac{22}{7}$: $V_{\text{total}} \approx 4.9 \times \frac{22}{7} \approx 15.4 \text{ liters}$ 

So the answer is approximately 15.4 liters, which corresponds to option C.